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Finding the Third Proportional to 302,292 and 664,200

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Solution

The third proportional to 302,292 and 664,200 is: 1,459,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,292 : 664,200 = 664,200 : x
  2. Step 2: Convert to fraction form
    302,292/664,200 = 664,200/x
  3. Step 3: Cross multiply
    302,292x = 664,200 × 664,200
  4. Step 4: Simplify right side
    302,292x = 441,161,640,000
  5. Step 5: Solve for x
    x = 441,161,640,000/302,292
  6. Step 6: Final answer
    x = 1,459,389.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.